# Multiplying and Dividing Decimals

#### Grade 6 Math Worksheets

We usually add numbers when we have different and varied data but when we are given a set of repeated data, we multiply.

*Here are some of the decimal multiplications.*

**Multiplying a decimal and a whole number.****Multiplying decimals with decimals.****Multiplication of decimals by 10s and 100s.**

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## Multiplying and Dividing Decimals - Grade 6 Math Worksheet PDF

This is a free printable / downloadable PDF worksheet with practice problems and answers. You can also work on it online.

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## Multiplying a Whole Number with a Decimal

## Multiplying a Decimal with a Decimal

## Multiplying Decimal by 10, 100 and 1000

When we multiply a decimal by 10, 100 or 1000, the decimal point moves to the right as many zeroes are there in the factor.

**Let’s see the example below –**

**Let’s see the example below –**

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## How to Divide With Decimals

The division is an efficient way to subtract repeated data. It’s again the same with decimal numbers.

Let’s discuss stepwise how to divide decimals.

**Dividing decimals with decimals.****Dividing decimals by 10s, 100s and 1000s.**

### A Few Solved Example

**The Baker’s Oven sells the best croissants in the town. Each croissant costs $1.75. If Charlene needs to buy 45 croissants for her day picnic with her friends, how much will it cost her?**

#### Step 1. Understanding the problem

We do that by eliminating unnecessary information:

*The Baker’s Oven sells the best croissants in the town*. Each croissant costs $1.75. If Charlene needs to buy 45 croissants *for her day picnic with her friends*, how much will it cost her?

#### Step 2. Translation and Evaluation

Translating the word problem into a mathematical formula

Cost of one croissant = $1.75

Number of croissants needed to buy = 45

Total cost of croissants = **1.75 × 45**

#### Step 3. Solving it correctly and being specific about the unit.

Total Cost of croissants

= **1.75 × 45 **

**= $78.75**

## Dividing a Decimal Number by Another Decimal Number

## Solved Example

**There are 21 sixth-grade Math books on the shelf of the school library. If the total width is 79.38 cm thick, what is the width of one book?**

**Solution**

### Step 1. Understanding the problem

First, we start by eliminating unnecessary information. (In this problem, we have a question to the point).

There are 21 sixth-grade Math books on the shelf of the school library. If the total width is 79.38 cm thick, what is the width of one book?

### Step 2. Translation and Evaluation

Translating the word problem into a mathematical formula

Total width of the books in the bookshelf =** 79.38 cm**

No. of books on the shelf = **21**

Width of one book =

### Step 3. Solving it correctly and being specific about the unit

So, the width of one book = **3.78 cm**

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## Check Point

**Solve the following:**

1.

2.

3. Amanda made 8 trips to her parent’s home. She drove 323.2 miles in all. How far did Amanda drive for each trip?

4. 125 × 0.2

5. 5 × 0.87

6. What is the total cost of 7 shirts produced in a textile industry if one shirt costs $9.78?

7. 10 students participated in a science club which charges a $4.75 participation fee for each student. What will be the total fees paid by 10 students?

##### Answer key

1. 0.00867

2. 23.4

3. 40.4 miles

4. 25

5. 4.35

6. $68.46

7. $47.5

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